76134400 has 72 divisors (see below), whose sum is σ = 188894160. Its totient is φ = 30433280.

The previous prime is 76134397. The next prime is 76134403. The reversal of 76134400 is 443167.

It is an interprime number because it is at equal distance from previous prime (76134397) and next prime (76134403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76134403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50457 + ... + 51943.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2^76134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94447080).

76134400 is an abundant number, since it is smaller than the sum of its proper divisors (112759760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76134400 is a wasteful number, since it uses less digits than its factorization.

76134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 76134400 is about 8725.5028508390. The cubic root of 76134400 is about 423.8319020372.

Adding to 76134400 its reverse (443167), we get a palindrome (76577567).

The spelling of 76134400 in words is "seventy-six million, one hundred thirty-four thousand, four hundred".